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Finding the Fourth Proportional to 5,648.24, 7,795.30 and 4,031.91

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Solution

The fourth proportional to 5,648.24, 7,795.30 and 4,031.91 is: 5,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.24 : 7,795.30 = 4,031.91 : x
  2. Step 2: Convert to fraction form
    5,648.24/7,795.30 = 4,031.91/x
  3. Step 3: Cross multiply
    5,648.24x = 7,795.30 × 4,031.91
  4. Step 4: Simplify right side
    5,648.24x = 31,429,948.02
  5. Step 5: Solve for x
    x = 31,429,948.02/5,648.24
  6. Step 6: Final answer
    x = 5,564.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.